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Finding the Third Proportional to 8,954 and 15,543

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Solution

The third proportional to 8,954 and 15,543 is: 26,980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954 : 15,543 = 15,543 : x
  2. Step 2: Convert to fraction form
    8,954/15,543 = 15,543/x
  3. Step 3: Cross multiply
    8,954x = 15,543 × 15,543
  4. Step 4: Simplify right side
    8,954x = 241,584,849
  5. Step 5: Solve for x
    x = 241,584,849/8,954
  6. Step 6: Final answer
    x = 26,980.66

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.